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Finding the Third Proportional to 51,769 and 110,920

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Solution

The third proportional to 51,769 and 110,920 is: 237,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769 : 110,920 = 110,920 : x
  2. Step 2: Convert to fraction form
    51,769/110,920 = 110,920/x
  3. Step 3: Cross multiply
    51,769x = 110,920 × 110,920
  4. Step 4: Simplify right side
    51,769x = 12,303,246,400
  5. Step 5: Solve for x
    x = 12,303,246,400/51,769
  6. Step 6: Final answer
    x = 237,656.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.